Abstract
After a brief review of the general theory of Toeplitz quantization in a non-commutative setting, we present an example with the symbol space being the quantum group SU q(2). This includes creation and annihilation operators as well as their commutation relations. The general way for introducing Planck’s constant into this theory is also presented in the example. This seems to be the first example of a quantization of a quantum group.
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Sontz, S.B. (2017). Toeplitz quantization of the quantum group SU q(2). In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_47
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DOI: https://doi.org/10.1007/978-3-319-69164-0_47
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69163-3
Online ISBN: 978-3-319-69164-0
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